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Finding the Third Proportional to 341,471,716 and 734,733,923

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Solution

The third proportional to 341,471,716 and 734,733,923 is: 1,580,903,812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,471,716 : 734,733,923 = 734,733,923 : x
  2. Step 2: Convert to fraction form
    341,471,716/734,733,923 = 734,733,923/x
  3. Step 3: Cross multiply
    341,471,716x = 734,733,923 × 734,733,923
  4. Step 4: Simplify right side
    341,471,716x = 539,833,937,606,969,920
  5. Step 5: Solve for x
    x = 539,833,937,606,969,920/341,471,716
  6. Step 6: Final answer
    x = 1,580,903,812.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.